51. Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river. (a) Write a function C(x) that describes the cost of the project. (b) What is the domain of C? (c) Use a graphing utility to graph C = C(x). (d) Find the dimensions of the cheapest enclosure. Source: wwW.uncwil.educourses/math111hb/PandR/rationa/
51. Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river. (a) Write a function C(x) that describes the cost of the project. (b) What is the domain of C? (c) Use a graphing utility to graph C = C(x). (d) Find the dimensions of the cheapest enclosure. Source: wwW.uncwil.educourses/math111hb/PandR/rationa/
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:51. Minimum Cost A rectangular area adjacent to a river is
to be fenced in; no fence is needed on the river side. The
enclosed area is to be 1000 square feet. Fencing for the
side parallel to the river is $5 per linear foot, and fencing
for the other two sides is $8 per linear foot; the four corner
posts are $25 apiece. Let x be the length of one of the sides
perpendicular to the river.
(a) Write a function C(x) that describes the cost of the
project.
(b) What is the domain of C?
(c) Use a graphing utility to graph C = C(x).
(d) Find the dimensions of the cheapest enclosure.
Source: wwW.uncwil.educourses/math111hb/PandR/rationa/
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